A

alternative hypothesis9.1 Null and Alternative Hypotheses

B

binomial distribution7.3 Using the Central Limit Theorem, 9.3 Distribution Needed for Hypothesis Testing

binomial probability distribution4.3 Binomial Distribution (Optional)

bivariateIntroduction

Box plots2.4 Box Plots

box-and-whisker plots2.4 Box Plots

box-whisker plots2.4 Box Plots

C

categorical data1.2 Data, Sampling, and Variation in Data and Sampling

Categorical variables1.1 Definitions of Statistics, Probability, and Key Terms

central limit theoremIntroduction, 7.1 The Central Limit Theorem for Sample Means (Averages), 7.3 Using the Central Limit Theorem

central limit theorem for means7.1 The Central Limit Theorem for Sample Means (Averages)

central limit theorem for sums7.2 The Central Limit Theorem for Sums (Optional)

chi-square distribution11.1 Facts About the Chi-Square Distribution

coefficient of determination12.2 The Regression Equation

complement3.1 Terminology

confidence level8.1 A Single Population Mean Using the Normal Distribution, 8.3 A Population Proportion

continuity correction factor7.3 Using the Central Limit Theorem

continuous random variable5.3 The Exponential Distribution (Optional)

control group1.4 Experimental Design and Ethics

critical value6.2 Using the Normal Distribution

cumulative distribution function5.1 Continuous Probability Functions

cumulative distribution function (CDF)5.3 The Exponential Distribution (Optional)

Cumulative relative frequency1.3 Frequency, Frequency Tables, and Levels of Measurement

D

data1.1 Definitions of Statistics, Probability, and Key Terms, 1.1 Definitions of Statistics, Probability, and Key Terms

degrees of freedom (df)10.1 Two Population Means with Unknown Standard Deviations

descriptive statistics1.1 Definitions of Statistics, Probability, and Key Terms

double-blind experiment1.4 Experimental Design and Ethics

E

error bound8.3 A Population Proportion

error bound for a population mean8.1 A Single Population Mean Using the Normal Distribution

expected value4.2 Mean or Expected Value and Standard Deviation

expected values11.2 Goodness-of-Fit Test

Experimental Probability of Event A3.1 Terminology

exponential distribution5.3 The Exponential Distribution (Optional), 7.3 Using the Central Limit Theorem

F

F distribution13.2 The F Distribution and the F Ratio

first quartile2.3 Measures of the Location of the Data

G

geometric distribution4.4 Geometric Distribution (Optional)

geometric experiment4.4 Geometric Distribution (Optional)

H

hypergeometric experiment4.8 Discrete Distribution (Lucky Dice Experiment)

hypergeometric probability4.5 Hypergeometric Distribution (Optional)

hypotheses9.1 Null and Alternative Hypotheses

hypothesis test9.5 Additional Information and Full Hypothesis Test Examples, 9.6 Hypothesis Testing of a Single Mean and Single Proportion

hypothesis testing.Introduction

I

independent3.3 Two Basic Rules of Probability

independent events3.2 Independent and Mutually Exclusive Events

informed consent1.4 Experimental Design and Ethics

Institutional Review Boards (IRB)1.4 Experimental Design and Ethics

interquartile range2.3 Measures of the Location of the Data

L

law of large numbers7.3 Using the Central Limit Theorem

level of measurement1.3 Frequency, Frequency Tables, and Levels of Measurement

level of significance of the test9.4 Rare Events, the Sample, and the Decision and Conclusion

lurking variables1.4 Experimental Design and Ethics

M

margin of errorIntroduction

margin of error for a population mean8.1 A Single Population Mean Using the Normal Distribution

mathematical models1.1 Definitions of Statistics, Probability, and Key Terms

mean1.1 Definitions of Statistics, Probability, and Key Terms, 2.5 Measures of the Center of the Data, 4.2 Mean or Expected Value and Standard Deviation, Introduction, 7.1 The Central Limit Theorem for Sample Means (Averages), 7.3 Using the Central Limit Theorem

multivariateIntroduction

N

normal distribution8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing

normally distributed7.1 The Central Limit Theorem for Sample Means (Averages), 7.2 The Central Limit Theorem for Sums (Optional), 9.3 Distribution Needed for Hypothesis Testing

null hypothesis9.1 Null and Alternative Hypotheses, 9.4 Rare Events, the Sample, and the Decision and Conclusion

Numerical variables1.1 Definitions of Statistics, Probability, and Key Terms

P

p-value9.4 Rare Events, the Sample, and the Decision and Conclusion, 9.5 Additional Information and Full Hypothesis Test Examples

paired data set2.2 Histograms, Frequency Polygons, and Time Series Graphs

parameterIntroduction

percentiles2.3 Measures of the Location of the Data

point estimateIntroduction

Poisson probability distribution4.6 Poisson Distribution (Optional), 4.8 Discrete Distribution (Lucky Dice Experiment)

pooled proportion10.3 Comparing Two Independent Population Proportions

population1.1 Definitions of Statistics, Probability, and Key Terms, 1.2 Data, Sampling, and Variation in Data and Sampling

population variance11.6 Test of a Single Variance

potential outlier12.5 Outliers

probability density functionIntroduction

probability distribution function4.1 Probability Distribution Function (PDF) for a Discrete Random Variable

Q

Qualitative data1.2 Data, Sampling, and Variation in Data and Sampling

quantitative continuous data1.2 Data, Sampling, and Variation in Data and Sampling

Quantitative data1.2 Data, Sampling, and Variation in Data and Sampling

quantitative discrete data1.2 Data, Sampling, and Variation in Data and Sampling

R

random assignment1.4 Experimental Design and Ethics

Random variable10.1 Two Population Means with Unknown Standard Deviations, 10.2 Two Population Means with Known Standard Deviations

relative frequency1.3 Frequency, Frequency Tables, and Levels of Measurement, 2.2 Histograms, Frequency Polygons, and Time Series Graphs

representative sample1.1 Definitions of Statistics, Probability, and Key Terms

S

sampling distribution2.5 Measures of the Center of the Data

sampling variability of a statistic2.7 Measures of the Spread of the Data

simple random sample9.3 Distribution Needed for Hypothesis Testing

standard deviation2.7 Measures of the Spread of the Data, 8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing, 9.3 Distribution Needed for Hypothesis Testing, 9.4 Rare Events, the Sample, and the Decision and Conclusion, 10.1 Two Population Means with Unknown Standard Deviations

standard deviation of a discrete probability distribution4.2 Mean or Expected Value and Standard Deviation

standard error of the mean7.1 The Central Limit Theorem for Sample Means (Averages)

Student's t-distribution8.2 A Single Population Mean Using the Student's t-Distribution, 9.3 Distribution Needed for Hypothesis Testing, 9.3 Distribution Needed for Hypothesis Testing

sum of squared errors (SSE)12.2 The Regression Equation

T

test for homogeneity11.4 Test for Homogeneity

test of a single variance11.6 Test of a Single Variance

test of independence11.3 Test of Independence

Theoretical Probability of Event A3.1 Terminology

tree diagram3.5 Tree and Venn Diagrams

two-way table3.4 Contingency Tables

Type I error9.2 Outcomes and the Type I and Type II Errors, 9.4 Rare Events, the Sample, and the Decision and Conclusion

Type II error9.2 Outcomes and the Type I and Type II Errors

U

unfair3.1 Terminology

uniform distribution7.3 Using the Central Limit Theorem

Use the following information to answer the next three exercises3.6 Probability Topics